This paper presents ideas for constructing mathematics homework assignments based on lessons from the cognitive science of learning and memory. In particular, we focus on two popular techniques from the field: spaced practice and mixed practice. The paper describes the techniques and supporting research, and then discusses various straightforward…

As more chemical engineering students enter careers beyond the field, students need more guidance in applying their problem solving skills to a challenges beyond the plant or refinery. Since Fall 2019, we have implemented case-based learning across our Material and Energy Balances course to help students practice chemical engineering thinking as a…

Sequences are an important topic--not only in mathematics but also in the mathematics curriculum. Exploring sequences related to medial triangles offers learners opportunities to solve problems involving sequences within geometric contexts. Sequences related to medial triangles are also a rich source of beautiful and interesting geometric patterns…

Through a series of explorations, this article will demonstrate how the Kentucky Derby winning times dataset provides various opportunities for introductory and advanced topics, from data processing to model building. Although the final goal may be a prediction interval, the dataset is rich enough for it to appear in several places in an…

Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…

Many students with attention-deficit/hyperactivity disorder (ADHD) also have reading deficits. These reading deficiencies in students with ADHD are likely to be more severe than those of students with only reading difficulties. To intensify reading instruction to improve reading and behavioral outcomes for students with ADHD, this article…

The problem of police brutality in Black and Brown communities has become a very frustrating issue. Part of the reason for exasperation lies with the fact that the country is divided when it comes to the notion of responsible policing. This became apparent when the "Black Lives Matter" movement was quickly met by obstinate supporters of…

In this book Bill Hanlon provides examples and recommends highly effective and practical instructional and assessment strategies that classroom teachers can immediately implement and that school administrators can readily observe. These high yield strategies build on accepted practices and directly address the needs of struggling students or…

This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this…

Old habits die hard, particularly when they are part of the unexamined norms of schooling. In "Why Are We Still Doing That?," the best-selling authors of "Total Participation Techniques" lead a teacher-positive, empathetic inquiry into 16 common educational practices that can undermine student learning: (1) Round robin reading;…

Learn how to differentiate instruction while maintaining a rigorous learning environment. In this practical book, rigor expert Barbara R. Blackburn shows that the differentiated classroom doesn't mean extra work for top students and easy work for others; instead, you can have high expectations for all students and provide scaffolding so that…

SOLO taxonomy models the levels of understanding within a topic; its hierarchal nature can support progression and challenge. Flipped learning is a strategy that uses homework to build background knowledge, thereby maximising the impact of lesson time. Both flipped learning and SOLO taxonomy can be used to support student learning, either combined…

Critics of ethics education suggest that students need to learn about contextual pressures of workplace ethical decisions and develop skills to handle them. Thus, instructors are often challenged to integrate an ethics unit into organizational behavior courses in ways that complement, rather than duplicate, what may have been covered in their…

More teachers are trying out the flipped classroom model in which content is delivered outside of class time, typically through online videos and "homework," and follow-up activities are done in class. This model frees up more class time for inquiry and discussion. This article focuses on the self-learning portion of the flipped learning…

The purpose of this article is to persuade English as a foreign language (EFL) teachers and teacher trainers that homework is indeed beneficial by presenting multiple examples of high-quality homework assignments, as Dettmers et al. (2010) found in mathematics. The argument here is that it is not the time spent on homework that matters in early…